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Finding the Third Proportional to 99,628 and 149,549

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Solution

The third proportional to 99,628 and 149,549 is: 224,484.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,628 : 149,549 = 149,549 : x
  2. Step 2: Convert to fraction form
    99,628/149,549 = 149,549/x
  3. Step 3: Cross multiply
    99,628x = 149,549 × 149,549
  4. Step 4: Simplify right side
    99,628x = 22,364,903,401
  5. Step 5: Solve for x
    x = 22,364,903,401/99,628
  6. Step 6: Final answer
    x = 224,484.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.